8 papers
Relative stability, relative categoricity and internal covers
Mostafa Mirabi, Anand Pillay
Let be a countable complete theory with a distinguished unary predicate , and let be the theory of the -parts of models of with the induced structure. is…
Remarks on relative categoricity
Anand Pillay
The paper is partly a survey with historical background and references, partly provides the opportunity to put in print some unpublished early work, and partly has new results. A s…
On groups definable in -adically closed fields
Anand Pillay, Ningyuan Yao, Zhentao Zhang
This paper is about the / decomposition for groups definable in -adically closed fields. It is proved that for definably amenable, has a definable normal $…
Definable Galois theory for bimeromorphic geometry
Rahim Moosa, Anand Pillay
The outlines of a "Galois theory" for bimeromorphic geometry is here developed, via the study of model-theoretic definable binding groups in the theory CCM of compact complex space…
The number of countable models of first-order theories
Anand Pillay, Predrag Tanović
Throughout, denotes a complete first-order theory in a countable language that has infinite models and denotes the number of countable models of , up to…
On groups definable in geometric fields with generic derivations
Anand Pillay, Françoise Point, Silvain Rideau-Kikuchi
We study groups definable in existentially closed geometric fields with commuting derivations. Our main result is that such a group can be definably embedded in a group interpretab…